Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor
out and distribute the exponent (you can use FOIL):
Notice:
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
Taking the root (rational exponents):
Then doing those arithmetic computations we get:
Answer:
The answer is 1/3
Step-by-step explanation:
Yoh would get this because an dice has six sides. If two numbers are being offered, that's 2/6 , or 1/3 simplified.
7x (13x^2 - 8) = 91x^3 - 56x